A free boundary problem arising in a model for shallow water entry at small deadrise angles
A free boundary problem arising in a model for inviscid, incompressible shallow water entry at small deadrise angles is derived and analysed. The relationship between this novel free boundary problem and the well-known viscous squeeze film problem is described. An inverse method is used to construct...
| Main Authors: | , |
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| Format: | Journal article |
| Published: |
2003
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| _version_ | 1797091442917638144 |
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| author | Howison, S Oliver, J |
| author_facet | Howison, S Oliver, J |
| author_sort | Howison, S |
| collection | OXFORD |
| description | A free boundary problem arising in a model for inviscid, incompressible shallow water entry at small deadrise angles is derived and analysed. The relationship between this novel free boundary problem and the well-known viscous squeeze film problem is described. An inverse method is used to construct explicit solutions for certain body profiles and to find criteria under which the splash sheet can `split'. A variational inequality formulation, conservation of certain generalized moments and the Schwarz function formulation are introduced. |
| first_indexed | 2024-03-07T03:33:08Z |
| format | Journal article |
| id | oxford-uuid:bb62d517-b173-4d12-b908-7dfe15b3ee4d |
| institution | University of Oxford |
| last_indexed | 2024-03-07T03:33:08Z |
| publishDate | 2003 |
| record_format | dspace |
| spelling | oxford-uuid:bb62d517-b173-4d12-b908-7dfe15b3ee4d2022-03-27T05:16:33ZA free boundary problem arising in a model for shallow water entry at small deadrise anglesJournal articlehttp://purl.org/coar/resource_type/c_dcae04bcuuid:bb62d517-b173-4d12-b908-7dfe15b3ee4dMathematical Institute - ePrints2003Howison, SOliver, JA free boundary problem arising in a model for inviscid, incompressible shallow water entry at small deadrise angles is derived and analysed. The relationship between this novel free boundary problem and the well-known viscous squeeze film problem is described. An inverse method is used to construct explicit solutions for certain body profiles and to find criteria under which the splash sheet can `split'. A variational inequality formulation, conservation of certain generalized moments and the Schwarz function formulation are introduced. |
| spellingShingle | Howison, S Oliver, J A free boundary problem arising in a model for shallow water entry at small deadrise angles |
| title | A free boundary problem arising in a model for shallow water entry at small deadrise angles |
| title_full | A free boundary problem arising in a model for shallow water entry at small deadrise angles |
| title_fullStr | A free boundary problem arising in a model for shallow water entry at small deadrise angles |
| title_full_unstemmed | A free boundary problem arising in a model for shallow water entry at small deadrise angles |
| title_short | A free boundary problem arising in a model for shallow water entry at small deadrise angles |
| title_sort | free boundary problem arising in a model for shallow water entry at small deadrise angles |
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